The realization of infinitely many universes in cosmology

Abstract

It is shown that, for certain classes of cosmological model which either
postulate or give rise to infinitely many universes, only a measure zero subset of the
set of possible universes above a given size can in fact be physically realized. It
follows that claims to explain the fine tuning of our universe on the basis of such
models by appeal to the existence of all possible universes fail.